Pregled bibliografske jedinice broj: 955904
Roberts orthogonality and Davis-Wielandt shell
Roberts orthogonality and Davis-Wielandt shell // Mathematical Inequalities and Applications 2018 / Aglić Aljinović, Andrea ; Elezović, Neven ; Rodić, Mirna (ur.).
Zagreb: Element, 2018. str. 65-65 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 955904 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Roberts orthogonality and Davis-Wielandt shell
Autori
Arambašić, Ljiljana ; Berić, Tomislav ; Rajić, Rajna
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Mathematical Inequalities and Applications 2018
/ Aglić Aljinović, Andrea ; Elezović, Neven ; Rodić, Mirna - Zagreb : Element, 2018, 65-65
Skup
Mathematical Inequalities and applications 2018
Mjesto i datum
Zagreb, Hrvatska, 04.07.2018. - 08.07.2018
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Roberts orthogonality ; numerical range ; Davis-Wieland shell ; C*-algebra
Sažetak
We consider the elements a of a unital C*- algebra A which are Roberts orthogonal to the unit e of A. We present a characterization of this orthogonality in terms of the Davis- Wielandt shell of a and show that, for certain classes of elements of A, the Roberts orthogonality of a and e is equivalent to the symmetry of the numerical range of a with respect to the origin. When A is the C*-algebra of all 2x2 complex matrices, we give a complete description of the form of 2x2 matrices which are Roberts orthogonal.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Projekti:
HRZZ-IP-2016-06-1046 - Operatori na C*-algebrama i Hilbertovim modulima (OCAHM) (Bakić, Damir, HRZZ - 2016-06) ( CroRIS)
Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb,
Rudarsko-geološko-naftni fakultet, Zagreb
